Reconstruction of bandlimited functions from space–time samples

Reconstruction of bandlimited functions from space–time samples

For a wide family of even kernels {φu,u∈I}, we describe discrete sets Λ such that every bandlimited signal f can be reconstructed from the space-time samples {(f⁎φu)(λ),λ∈Λ,u∈I}.

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Veröffentlicht in:Journal of functional analysis 2021-05, Vol.280 (9), p.108962, Article 108962
Hauptverfasser: Ulanovskii, Alexander, Zlotnikov, Ilya
Format: Artikel
Sprache:eng
Schlagworte:
Bernstein spaces
Dynamical sampling
Mathematics
Paley–Wiener spaces
Physical Sciences
Science & Technology
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Zusammenfassung:For a wide family of even kernels {φu,u∈I}, we describe discrete sets Λ such that every bandlimited signal f can be reconstructed from the space-time samples {(f⁎φu)(λ),λ∈Λ,u∈I}.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2021.108962